Time: M,W,F 10:00-11:00
Room: Creative Building 412
Exams:
Lecture assistant: 임상섭 ekdn123 at kaist ac kr 오정석 ojs0603 at kaist ac kr
(There will be exercise
sessions organized by the TA.)
Important notice: Those people
who do not take the midterm or final exam will be given F.
Those students who do not take more than 30% of the quizzes will be given
F.
Grade distributions: A:30%,
B:40%, C or below 30%. (I will include the people who drop the course.)
Lecturer: Suhyoung Choi at
Room E6-4403
schoi at math dot kaist dot
ac dot kr
This course begins abstract
mathematics and is a good introduction to all the methods of
modern abstract mathematics. This course is your finest initiation into
abstract thinking which you won’t find
in any other course in the universities today. So take this opportunity to
develop this mode of
thinking. Having taken a previous course on logic and the set theory would be
very helpful for you.
I wrote and linked some help at http://math.kaist.ac.kr/~schoi/teaching.html
(My advice is that college does last only four years and after that you can
probably choose to
work in areas that do not require abstract thinking if you don’t like it. )
(Of course, one should not think that pure mathematics helps you at all in
making money.)
This course concentrates on justifying the linear algebra theorems and
procedures with
proofs, definitions and so on. You will learn to prove some theorems here.
(A part of the purpose of this course is to introduce you to proving theorems,
lemmas,
and corollaries.)
You are expected to have
prepared for the lecture by reading ahead and solving
some of the problems. Reading books is very important for you.
Course Book: Linear
algebra 2nd Edition by Hoffman and Kunz Prentice Hall (Despite the fact that
this book is kind of hard to read for you but it is the only book left on earth
with the content we need in this department.)
Helpful references:
Paul R. Halmos, Finite
dimensional vector spaces, UTM, Springer (mostly theoretical)
B. Hartley, Rings, Modules, and Linear Algebra, Chapman and Hall
Larry Smith, Linear Algebra, 2nd Edition, Springer (Similar to our book, But
fields are either the real field or
the complex field.)
Seldon, Axler, Linear algebra done right, Springer (Similar, Same field
restriction as above)
S. Friedberg et al., Linear algebra 4th Edition, Prentice Hall (Most similar to
our book. More
concrete. weak in theoretical side.)
Gilbert Strang, Introduction to Linear Algebra, Wellesley-Cambridge
Press, MA, USA
Two Korean books of almost the same content as Hoffman-Kunz:
선형대수학, 김응태, 박승안 공저, 청문 각
선형대수학. 임긍빈, 임동만,
형실출판사
Grades: Midterm(150pts)
Final(150pts) Quiz (100pts) Class participation (50pts)
Total 450pts
Exams will be given
according to the KAIST schedule. There are old exams at math.kaist.ac.kr/~schoi/teaching.html.
Quizzes: There will be a
quiz almost every week. There will be one or two problems to solve
given 20 minutes. The quiz problems are very similar or identical with the
homework problems.
One should prepare for them by groups of students working on homework problems
together.
The homework problems are not to be turned in.
Introduction to formal
mathematical proofs
Chapter 1: Linear equations
Chapter 2: Vector spaces
Chapter 3: Linear
transformations
Chapter 4: Polynomials
Midterm
Chapter 5: Determinants
Chapter 6: Elementary
canonical forms
Chapter 7: The rational and
Jordan forms
Final
The teaching homepage:
http://math.kaist.ac.kr/~schoi/teaching.html
Course homepage: mathsci.kaist.ac.kr, math.kaist.ac.kr/~schoi/linearalg2008I.htm
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Monday |
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Wednesday |
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Friday |
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9/1 |
9/3 |
1.1,1.2.1.3,1.4. |
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9/6 |
1.5,1.6. |
9/8 |
9/10 |
2.2 |
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9/13 |
2.3 |
9/15 |
2.3. |
9/17 |
2.4 |
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9/20 |
9/22 |
Holiday |
9/24 |
2.6. |
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9/27 |
9/30 |
3.2. |
10/1 |
3.3. |
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10/4 |
10/6 |
10/8 |
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10/11 |
4.3. |
10/13 |
10/15 |
4.4. |
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10/18 |
4.5 |
10/20 |
midterm |
10/22 |
midterm |
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10/25 |
10/27 |
5.1, 5.2 |
10/29 |
5.3 |
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11/1 |
5.4. |
11/3 |
11/5 |
6.2 |
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11/8 |
6.3. |
11/10 |
6.3 |
11/12 |
6.4. |
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11/15 |
6.4 |
11/17 |
6.6. |
11/19 |
6.7. |
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11/22 |
6.8. |
11/24 |
6.8 |
11/26 |
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11/29 |
7.2. |
12/1 |
7.2. |
12/3 |
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12/6 |
7.3 |
12/8 |
7.4. |
12/10 |
7.4 |
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12/13 |
Q&A session |
12/15 |
final |
12/17 |
final |
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MIT
Linear algebra class (This correspond to our course exactly.)
Harvard Linear algebra
class (correspond to our course)
Homework sets: Do not turn
in your works but you should know how to solve these problems.
For quizzes, the teaching assistants will make problems similar to these. The
best way is
to study the problems that were taught on that day.
S.1.2:p.5:1,4,5,
S.1.3:p.10:2,p.11:4,8, S.1.4: p.16:4,6,
S.1.5: p.21:1,6, S.1.6: p.26:3,6,7,
S.2.1:p.33:1, p.34:4,6, S.2.2: p.39:1,2, p.40:6,8,
S.2.3:p.48:2,3,6, p.49:11,
S.2.4:p.55:3,4,6.
S.2.6:p.66:1,3,5, S.
3.1:p.73:1,3,7,9, S.3.2:p.83:1,3,5, p.84:7.
S.3.3:p.86:2,3,S.3.4:p.95:2,5,7,
S.3.5:p.105:1,2,4,7, p.106:9,11,12.
S.3.6: p.111: 1,2, S.4.2:
p.123:2,4,7,9, S.4.3:p.126:1,2,3.
S.4.4:p.134:1,2,4,
S.4.5:p.139:2,3
S.5.2:p.148:1,
p.149:8,9,10, S.5.3:p.155:2,4,7, p.156:11.
S.5.4:p.162:1,3,
p.163:7,9,12, S.6.2:p.189:1,3,5, p.190:6,10,11, S.6.3:p.198:3,4,6,8.
S.6.4:p.205:1,3,4,5,9, p.206:11,12,
S.6.6:p.213: 1,2,3,8.
S.6.7:p.218:1,2, p.219:
4,5,9, S.6.8:p.225:1,2, p.226:5,9
S.7.1:p.230:1,2,3,
p.231:6,7, S.7.2:p.241:1,2,3, p.242: 4,8,9,p.243:11,12. (13th and 14th
week together)
S.7.3:p.250:3,6,7,8,
S.7.4:p.261:4.
